K3 surfaces with algebraic period ratios have complex multiplication

DOI10.1142/S1793042115400217zbMath1366.14036MaRDI QIDQ2942536

Paula Beazley Cohen

Publication date: 11 September 2015

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

transcendencecomplex multiplication\(K3\) surfacesperiods

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Complex multiplication and abelian varieties (14K22) Transcendence (general theory) (11J81) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Related Items (2)

CM liftings of surfaces over finite fields and their applications to the Tate conjecture ⋮ Finiteness of polarized \(K3\) surfaces and hyperkähler manifolds

Cites Work

• The Kuga-Satake variety of an abelian surface
• Values of hypergeometric functions
• Algebraische Punkte auf analytischen Untergruppen algebraischer Gruppen. (Algebraic points on analytic subgroups of algebraic groups)
• Humbert surfaces and transcendence properties of automorphic functions
• On the Shafarevich and Tate conjectures for hyperkähler varieties
• Transcendence and CM on Borcea-Voisin towers of Calabi-Yau manifolds
• On analytic families of polarized abelian varieties and automorphic functions
• La conjecture de Weil pour les surfaces K3
• Abelian varieties attached to polarized \(K_3\)-surfaces
• Arithmetische Untersuchungen elliptischer Integrale
• A CHARACTERIZATION OF SPECIAL SUBVARIETIES
• A Transcendence Criterion for CM on Some Families of Calabi–Yau Manifolds
• Complex multiplication, Griffiths-Yukawa couplings, and rigidity for families of hypersurfaces

This page was built for publication: K3 surfaces with algebraic period ratios have complex multiplication